Here is one way to use regular-width bins spaced logarithmically:
x = 10+2*randn(1, 100); % Create data
bins = linspace(floor(min(x)), ceil(max(x)), 25); % Define bins
xc = histc(x,bins); % Do histogram counts
figure(1)
bar(log(bins), xc) % Plot bars against log of ‘bins’
logxts = get(gca, 'XTick') % 'XTick' values currently logarithmic
expxts = exp(logxts); % Take antilog to use them as new ‘XTickLabels’
set(gca, 'XTickLabel', floor(100*expxts)/100)
The plot:
This produces logarithmic X-axis values (scaling and labels) for the bar plot. If you want to experiment with other transformations, be sure you can uniquely inverse-transform them to get the X-axis labels.
